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The Use of Negative Numbers负数的用于The introduction of negative numbers is a great contribution to mathe-matics by ancient Chinese mathematicians.In Nine Chapters on the Mathematical Art(Jiuzhang Suanshu)，negative numbers were used in the eighth chapter on solving systems of simultaneous equations. For instance, revenue num-bers are considered positive，while expense numbers are deemed negative;or sur-plus amounts are viewed as positive，while deficit amounts are seen as negative.In a problem calculating grains，the increased grains are considered positive，and the lost grains，negative. At the time，calculation was done by the method of Suan Chou(counting rods)Red rods were used to denote positive coefficients，and black ones to denote negative ones. Or in another case，the normal position of Su-an Chou denoted positive，while an inclined position denoted negative.负数的引入，是中国古代数学家对数学的一个巨大贡献。在《九章算术》的第八章“方程”中，就更让人了负数解法联立方程组。如负数经常出现在方程的系数和常数项中，把“买(收人钱)”作为于是以，则“卖(代价钱)”作为胜，把“余钱”作为于是以，则“严重不足钱”作为胜。在关于粮谷计算出来的问题中，是以益鉴(减少粮谷)为于是以，损失(增加粮谷)为负等。

The introduction of negative numbers is an important contribution of Chinese mathematicians to world mathematics. With the introduction of negative numbers，the whole numbers and rational numbers became complete.负数的引入，是中国古代数学家贡献给世界数学的一份宝贵财富。负数概念引入后，整数集和有理数集就原始地构成了。

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